3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28....

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3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28. The applied forces Fx and Fy are equal to 3 and 5 kN, respectively. Z 1m X Fx A B Fy 2m C a) Point A will move along x, y and z as a result of the applied forces. Use Castigliano's second theorem to find the displacements of point A along x and y given that the structure has a uniform diameter equal to 10 cm. Consider only bending and torsion effects. b) Find the rotation about z at point A using Castigliano's second theorem. Consider only bending and torsion effects. Note: consider solving parts a and b at the same time. When there is bending in two planes, for example, moments along x and along y for a member parallel to z, the strain energy produced by each moment can be calculated separately and added to get the total strain energy of that member. 3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28. The applied forces Fx and Fy are equal to 3 and 5 kN, respectively. Z 1m X Fx A B Fy 2m C a) Point A will move along x, y and z as a result of the applied forces. Use Castigliano's second theorem to find the displacements of point A along x and y given that the structure has a uniform diameter equal to 10 cm. Consider only bending and torsion effects. b) Find the rotation about z at point A using Castigliano's second theorem. Consider only bending and torsion effects. Note: consider solving parts a and b at the same time. When there is bending in two planes, for example, moments along x and along y for a member parallel to z, the strain energy produced by each moment can be calculated separately and added to get the total strain energy of that member.

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To solve this problem we will use Castiglianos second theorem which states that the partial derivative of the strain energy with respect to the force ... View the full answer